IJPAM: Volume 78, No. 7 (2012)

FINITE ELEMENT MODEL TO STUDY
CALCIUM DIFFUSION IN ASTROCYTES

Brajesh Kumar Jha$^1$, Neeru Adlakha$^2$, M.N. Mehta$^3$
$^{1,2}$Department of Applied Mathematics and Humanities
S.V. National Institute of Technology
Surat Gujarat, 395007, INDIA


Abstract. Astrocytes are also known to express voltage-gated \(Ca^{2+}\) channels similar to those found in neurons. Calcium \([Ca^{2+}]\) is a second messenger which plays an important role in signal transduction. The main objective of this paper is to study effect of voltage-gated calcium channel on cytosolic calcium concentration in astrocytes. In view of above a mathematical model is developed to study interdependence of all the important parameters like diffusion coefficient and influx over \([Ca^{2+}]\) profile. Finite element method is employed to solve the problem. A program has been developed using in MATLAB 7.5 for the entire problem and simulated on an AMD-Turion 32-bite machine to compute the numerical results.

Received: October 9, 2011

AMS Subject Classification: 62P10, 80A50

Key Words and Phrases: Ca2+ profile, potential activity, astrocytes, ion channel, FEM

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 7